In this review paper, we are mainly concerned with the numerical methods for solving
fractional equations, which are divided into the fractional differential equations (FDEs), time …

This study focuses on the study of spatiotemporal and chaotic behavior in an extended non-
integer order dynamical systems which describe the spatial interaction between two …

This paper presents an iterative reproducing kernel algorithm for obtaining the numerical
solutions of Riesz fractional diffusion and advection-dispersion equations in porous media …

The fractional diffusion and dispersion equations are reinterpreted in determining the effect
of fluid flow and displacement processes through certain compressible phenomena and …

A new numerical scheme has been developed based on the fast and efficient meshless
local weak form ie direct meshless local Petrov–Galerkin (DMLPG) method for solving the …

In this paper, by combining of fractional centered difference approach with alternating
direction implicit method, we introduce a mixed difference method for solving two …

In this paper, for variable coefficient Riesz fractional diffusion equations in one and two
dimensions, we first design a second-order implicit difference scheme by using the Crank …

In this paper, we consider the numerical solutions of the semilinear Riesz space-fractional
diffusion equations (RSFDEs) with time delay, which constitute an important class of …

In this paper, we study the Crank--Nicolson alternative direction implicit (ADI) method for two-
dimensional Riesz space-fractional diffusion equations with nonseparable coefficients …

In this paper, we study and analyze Crank–Nicolson temporal discretization with high-order
spatial difference schemes for time-dependent Riesz space-fractional diffusion equations …